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Finding the Fourth Proportional to 310,420.38, 465,716.52 and 123,563.10

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Solution

The fourth proportional to 310,420.38, 465,716.52 and 123,563.10 is: 185,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420.38 : 465,716.52 = 123,563.10 : x
  2. Step 2: Convert to fraction form
    310,420.38/465,716.52 = 123,563.10/x
  3. Step 3: Cross multiply
    310,420.38x = 465,716.52 × 123,563.10
  4. Step 4: Simplify right side
    310,420.38x = 57,545,376,932.41
  5. Step 5: Solve for x
    x = 57,545,376,932.41/310,420.38
  6. Step 6: Final answer
    x = 185,378.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.